Unified algebraic deviation of distribution factors in linear power flow

TL;DR

This paper presents a unified algebraic framework for deriving distribution factors in power grids, enabling easier analysis of complex grid modifications like switching events and bus splits.

Contribution

It introduces a matrix algebra-based unified derivation of distribution factors, generalizing their application to complex grid modifications.

Findings

Provides a unified algebraic derivation of distribution factors

Enables analysis of simultaneous switching events and bus splits

Facilitates advanced topology optimization in power systems

Abstract

Distribution factors are indispensable tools in the design and analysis of power transmission grids. Recently, they received a renewed interest in the field of topology optimization, leading to the definition of bus merge and bus split distribution factors. In this article, we introduce a unified derivation of the most relevant distribution factors based on matrix algebraic manipulations. This approach facilitates the generalization to more complex grid modification, in particular simultaneous switching events or bus splits.